Tutorial When is the square root positive or negative

The video tutorial explains solving quadratic equations, focusing on the equation X^2 - 4 = 0. It demonstrates how to solve it by moving terms and taking square roots, emphasizing the need to consider both positive and negative roots. However, when directly asked for the square root of 4, only the positive solution is considered. The tutorial aims to clarify these concepts for better understanding.

What is the first step in solving the equation X^2 - 4 = 0?

• Divide both sides by 2

• Add 4 to both sides

• Subtract 4 from both sides

• Multiply both sides by 2

When solving X^2 = 4, why must we consider both positive and negative solutions?

• Because X can only be negative

• Because the equation is linear

• Because X can only be positive

• Because both positive and negative numbers squared can result in 4

What is the result of squaring -2?

• 4

• -4

• 2

• 0

What is the square root of 4, considering only the positive solution?

• 2

• -2

• 4

• 0

In the context of the problem, why do we only consider the positive square root of 4?

• Because the square root of a number is always positive

• Because the context only requires the positive solution

• Because negative numbers are not real

• Because the problem specifies only positive numbers